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The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia. shaft 100 Connected to flexible coupling and clutch 750 N 100 Partial Ans. (Point "T") (Point "S") Abs Max-material Free end of shaft 2500 N 120-mm-dia. sheave a) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (0₁, 02, and as) and the absolute maximum shear stress "Abs Max" for each of the two locations "S" and "T". = 73.74 MPa, = 226.7 MPa, = 123.2 MPa c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of S, = 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. S = 58 (S)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) 0₂-73.74 MPa, 0₂ = 0, ₂ = -19.7 MPa, ₂ = 0, max-material = 226.7 MPa If the shaft in problem 2 is rotating at 2500 rpm when being driven by a small diesel engine through the clutch at end "A", what power (in hp) is the engine delivering to the shaft? Which direction is the shaft rotating (CW or CCW) when viewed from end "A"? Partial Ans. 36.85 hp

The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia. shaft 100 Connected to flexible coupling and clutch 750 N 100 Partial Ans. (Point "T") (Point "S") Abs Max-material Free end of shaft 2500 N 120-mm-dia. sheave a) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (0₁, 02, and as) and the absolute maximum shear stress "Abs Max" for each of the two locations "S" and "T". = 73.74 MPa, = 226.7 MPa, = 123.2 MPa c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of S, = 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. S = 58 (S)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) 0₂-73.74 MPa, 0₂ = 0, ₂ = -19.7 MPa, ₂ = 0, max-material = 226.7 MPa If the shaft in problem 2 is rotating at 2500 rpm when being driven by a small diesel engine through the clutch at end "A", what power (in hp) is the engine delivering to the shaft? Which direction is the shaft rotating (CW or CCW) when viewed from end "A"? Partial Ans. 36.85 hp

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.7P: A special-purpose eye boll with a shank diameter d - 0.50 in. passes through, a hole in a steel...
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The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia, shaft 100 Connected to flexible coupling and clutch 750 N 100 Partial Ans. (Point "T") Free end of shaft 2500 N 120-mm-dia. sheave a) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (₁, 2 and 03) and the absolute maximum shear stress "Abs Max" for each of the two locations "S" and "T". = 73.74 MPa, (Point "S") ₁ = 226.7 MPa, Abs Max-material = 123.2 MPa c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of S,. = 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. S = 58(S)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) 0₂-73.74 MPa, ₂ = 0, ₂ = -19.7 MPa, 03 = 0, "max-material = 226.7 MPa If the shaft in problem 2 is rotating at 2500 rpm when being driven by a small diesel engine through the clutch at end "A", what power (in hp) is the engine delivering to the shaft? Which direction is the shaft rotating (CW or CCW) when viewed from end "A"? Partial Ans. 36.85 hp
Transcribed Image Text:The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia, shaft 100 Connected to flexible coupling and clutch 750 N 100 Partial Ans. (Point "T") Free end of shaft 2500 N 120-mm-dia. sheave a) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (₁, 2 and 03) and the absolute maximum shear stress "Abs Max" for each of the two locations "S" and "T". = 73.74 MPa, (Point "S") ₁ = 226.7 MPa, Abs Max-material = 123.2 MPa c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of S,. = 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. S = 58(S)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) 0₂-73.74 MPa, ₂ = 0, ₂ = -19.7 MPa, 03 = 0, "max-material = 226.7 MPa If the shaft in problem 2 is rotating at 2500 rpm when being driven by a small diesel engine through the clutch at end "A", what power (in hp) is the engine delivering to the shaft? Which direction is the shaft rotating (CW or CCW) when viewed from end "A"? Partial Ans. 36.85 hp
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